TSTP Solution File: ARI278_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI278_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:47:52 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 46 ( 0 atm; 14 fun; 27 num; 5 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 3 !; 2 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_8,type,
sK0: $rat ).
tff(f22,plain,
$false,
inference(trivial_inequality_removal,[],[f21]) ).
tff(f21,plain,
1/3 != 1/3,
inference(superposition,[],[f19,f20]) ).
tff(f20,plain,
1/3 = sK0,
inference(evaluation,[],[f18]) ).
tff(f18,plain,
sK0 = $sum(5/12,$uminus(1/12)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( 1/3 != sK0 )
& ( sK0 = $sum(5/12,$uminus(1/12)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $rat] :
( ( 1/3 != X0 )
& ( $sum(5/12,$uminus(1/12)) = X0 ) )
=> ( ( 1/3 != sK0 )
& ( sK0 = $sum(5/12,$uminus(1/12)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $rat] :
( ( 1/3 != X0 )
& ( $sum(5/12,$uminus(1/12)) = X0 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $rat] :
( ( $sum(5/12,$uminus(1/12)) = X0 )
=> ( 1/3 = X0 ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $rat] :
( ( $difference(5/12,1/12) = X0 )
=> ( 1/3 = X0 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $rat] :
( ( $difference(5/12,1/12) = X0 )
=> ( 1/3 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_6) ).
tff(f19,plain,
1/3 != sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI278=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:31:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (16018)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.50 % (16029)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.50 % (16028)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50 % (16018)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.50 % (16018)Terminated due to inappropriate strategy.
% 0.19/0.50 % (16018)------------------------------
% 0.19/0.50 % (16018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (16018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (16018)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (16018)Memory used [KB]: 895
% 0.19/0.50 % (16018)Time elapsed: 0.003 s
% 0.19/0.50 % (16018)Instructions burned: 1 (million)
% 0.19/0.50 % (16018)------------------------------
% 0.19/0.50 % (16018)------------------------------
% 0.19/0.50 % (16030)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.51 % (16038)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.51 % (16027)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (16021)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (16019)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.51 % (16027)First to succeed.
% 0.19/0.51 % (16021)Also succeeded, but the first one will report.
% 0.19/0.51 % (16025)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.51 % (16037)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.51 % (16027)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (16027)------------------------------
% 0.19/0.51 % (16027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (16027)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (16027)Memory used [KB]: 895
% 0.19/0.51 % (16027)Time elapsed: 0.111 s
% 0.19/0.51 % (16027)Instructions burned: 2 (million)
% 0.19/0.51 % (16027)------------------------------
% 0.19/0.51 % (16027)------------------------------
% 0.19/0.51 % (16017)Success in time 0.167 s
%------------------------------------------------------------------------------